### Home > PC3 > Chapter 13 > Lesson 13.3.2 > Problem13-115

13-115.

A car which runs very slowly in the morning travels at a speed of $2t$ ft/s in the first $t$ seconds after it starts for $0\le t\le50$.

1. Draw the velocity versus time graph.

2. Use your graph to write an equation for the distance the car travels in the first $t$ seconds after it starts.

Distance is the area under a velocity curve.

The area under the curve is a triangle. Therefore:

$\text{distance}=\frac{(t)(f(t))}{2}$